Answer:
See attached graph for the rotated figure
The incorrect image point from the choices given is the first choice T'(-3, -2). T' should have coordinates (-3, 2)
Explanation:
When a point A(x, y) on the XY coordinate system is rotated 180° (either clockwise or anticlockwise) the coordinates of the new point A' will be (-x, -y). Thus the new coordinates will be the negative of the original coordinates
Looking at the figure and following the above rule we get the following results for original and rotated coordinates by 180°
Original Coordinates(x, y) Rotated 180 Coordinates (-x, -y)
K(-1, -1) K'(1, 1) (-1 becomes 1)
P(0, -1) P'(0, 1) (0 stays at 0)
T(3, -2) T'(-3, 2)
Q(0, -4) Q'(0, 4)
To get the rotated image draw the new point coordinates and connect them